13652065152 has 384 divisors, whose sum is σ = 45826560000. Its totient is φ = 3855237120.

The previous prime is 13652065151. The next prime is 13652065181. The reversal of 13652065152 is 25156025631.

13652065152 is a `hidden beast` number, since 1 + 36 + 520 + 6 + 51 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×13652065152³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13652065151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27358599 + ... + 27359097.

It is an arithmetic number, because the mean of its divisors is an integer number (119340000).

Almost surely, 2^13652065152 is an apocalyptic number.

13652065152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13652065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280000).

13652065152 is an abundant number, since it is smaller than the sum of its proper divisors (32174494848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13652065152 is a wasteful number, since it uses less digits than its factorization.

13652065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13652065152 in words is "thirteen billion, six hundred fifty-two million, sixty-five thousand, one hundred fifty-two".